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Finding the Third Proportional to 102,347,280 and 146,357,816

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Solution

The third proportional to 102,347,280 and 146,357,816 is: 209,293,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,347,280 : 146,357,816 = 146,357,816 : x
  2. Step 2: Convert to fraction form
    102,347,280/146,357,816 = 146,357,816/x
  3. Step 3: Cross multiply
    102,347,280x = 146,357,816 × 146,357,816
  4. Step 4: Simplify right side
    102,347,280x = 21,420,610,304,289,856
  5. Step 5: Solve for x
    x = 21,420,610,304,289,856/102,347,280
  6. Step 6: Final answer
    x = 209,293,400.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.